On the Gorensetein -Flat and Gorensetein -Injective Modules

M Amini - arXiv preprint arXiv:1907.12599, 2019 - arxiv.org
Let R be a ring. In this paper, Gorenstein (n, d)-flat and (n, d)-Gorenstein (n, d)-injective
modules and some of their basic properties are studied. Moreover, some characterizations …

Gorenstein --Injective and --Flat Modules with Respect to a Special Finitely Presented Module

M Amini, A Benkhadra, D Bennis - Algebra Colloquium, 2021 - World Scientific
Let R be a ring, X a class of R-modules and n≥ 1 an integer. We introduce the concepts of
Gorenstein nX-injective and nX-flat modules via special finitely presented modules. Besides …

n-strongly Gorenstein Projective and Injective and Flat Modules

X YANG - Chinese Quarterly Journal of Mathematics, 2014 - sxjk.magtechjournal.com
n-strongly Gorenstein Projective and Injective and Flat Modules Page 1 Chin. Quart. J. of Math.
2014, 29 (4): 553—564 n-strongly Gorenstein Projective and Injective and Flat Modules YANG …

Gorenstein star modules and Gorenstein tilting modules

P Zhang - Czechoslovak Mathematical Journal, 2021 - Springer
We introduce the notion of Gorenstein star modules and obtain some properties and a
characterization of them. We mainly give the relationship between n-Gorenstein star …

n-Strongly Gorenstein Graded Modules

Z Gao, J Peng - Czechoslovak Mathematical Journal, 2019 - Springer
Let R be a graded ring and n⩾ 1 an integer. We introduce and study n-strongly Gorenstein
gr-projective, gr-injective and gr-flat modules. Some examples are given to show that n …

Gorenstein n-flat modules and their covers

C Selvaraj, R Udhayakumar… - … -European Journal of …, 2014 - World Scientific
In this paper, we introduce the notion of Gorenstein n-flat modules and Gorenstein n-
absolutely pure modules. First, we prove that the direct limit of Gorenstein n-flat modules …

n-Strongly Gorenstein Projective, Injective and Flat Modules

G Zhao, Z Huang - Communications in Algebra, 2011 - Taylor & Francis
In this article, we study the relation between m-strongly Gorenstein projective (resp.,
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …

Strongly -Gorenstein projective, injective and flat modules

N Mahdou, M Tamekkante - arXiv preprint arXiv:0904.4013, 2009 - arxiv.org
This paper generalize the idea of the authors in\cite {Bennis and Mahdou1}. Namely, we
define and study a particular case of modules with Gorenstein projective, injective, and flat …

Gorenstein FP-injective and Gorenstein flat modules

L Mao, N Ding - Journal of Algebra and Its Applications, 2008 - World Scientific
In this paper, Gorenstein FP-injective modules are introduced and studied. An R-module M
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …

-Strongly Gorenstein Projective, Injective and Flat modules

G Zhao, Z Huang - arXiv preprint arXiv:0904.3045, 2009 - arxiv.org
In this paper, we study the relation between $ m $-strongly Gorenstein projective (resp.
injective) modules and $ n $-strongly Gorenstein projective (resp. injective) modules …